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Finding the Fourth Proportional to 1,593.14, 2,390.23 and 771.51

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Solution

The fourth proportional to 1,593.14, 2,390.23 and 771.51 is: 1,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.14 : 2,390.23 = 771.51 : x
  2. Step 2: Convert to fraction form
    1,593.14/2,390.23 = 771.51/x
  3. Step 3: Cross multiply
    1,593.14x = 2,390.23 × 771.51
  4. Step 4: Simplify right side
    1,593.14x = 1,844,086.35
  5. Step 5: Solve for x
    x = 1,844,086.35/1,593.14
  6. Step 6: Final answer
    x = 1,157.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.